\(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^4} \, dx\) [2001]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^5} \, dx\) [2002]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^6} \, dx\) [2003]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^7} \, dx\) [2004]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^8} \, dx\) [2005]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^9} \, dx\) [2006]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\) [2007]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\) [2008]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{12}} \, dx\) [2009]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13}} \, dx\) [2010]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{14}} \, dx\) [2011]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15}} \, dx\) [2012]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{16}} \, dx\) [2013]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{17}} \, dx\) [2014]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^4}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2015]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^3}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2016]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^2}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2017]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2018]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2019]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x) \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2020]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2021]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2022]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2023]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^5 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2024]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2025]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2026]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2027]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2028]
   \(\int \genfrac {}{}{}{}{a+b x}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2029]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2030]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2031]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2032]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^5}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2033]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2034]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2035]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2036]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2037]
   \(\int \genfrac {}{}{}{}{a+b x}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2038]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2039]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2040]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2041]
   \(\int (a+b x) (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2) \, dx\) [2042]
   \(\int (a+b x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2) \, dx\) [2043]
   \(\int (a+b x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2) \, dx\) [2044]
   \(\int (a+b x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2) \, dx\) [2045]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{\sqrt {d+e x}} \, dx\) [2046]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^{3/2}} \, dx\) [2047]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^{5/2}} \, dx\) [2048]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^{7/2}} \, dx\) [2049]
   \(\int (a+b x) (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [2050]
   \(\int (a+b x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [2051]
   \(\int (a+b x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [2052]
   \(\int (a+b x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [2053]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{\sqrt {d+e x}} \, dx\) [2054]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{3/2}} \, dx\) [2055]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{5/2}} \, dx\) [2056]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{7/2}} \, dx\) [2057]
   \(\int (a+b x) (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [2058]
   \(\int (a+b x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [2059]
   \(\int (a+b x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [2060]
   \(\int (a+b x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [2061]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{\sqrt {d+e x}} \, dx\) [2062]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{3/2}} \, dx\) [2063]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{5/2}} \, dx\) [2064]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{7/2}} \, dx\) [2065]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{7/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [2066]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{5/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [2067]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{3/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [2068]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {d+e x}}{a^2+2 a b x+b^2 x^2} \, dx\) [2069]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)} \, dx\) [2070]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [2071]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [2072]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [2073]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [2074]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [2075]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [2076]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [2077]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [2078]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [2079]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [2080]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [2081]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [2082]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2083]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2084]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2085]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2086]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2087]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2088]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [2089]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [2090]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [2091]
   \(\int (a+b x) (d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [2092]
   \(\int (a+b x) (d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [2093]
   \(\int (a+b x) (d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [2094]
   \(\int (a+b x) \sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [2095]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{\sqrt {d+e x}} \, dx\) [2096]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{3/2}} \, dx\) [2097]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{5/2}} \, dx\) [2098]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{7/2}} \, dx\) [2099]
   \(\int (a+b x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [2100]